A winding problem for a resonator driven by a white noise

From MaRDI portal
Publication:2626436

DOI10.1215/kjm/1250524936zbMath0119.34701OpenAlexW2099569438MaRDI QIDQ2626436

H. P. jun. McKean

Publication date: 1963

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250524936




Related Items (52)

On the structure of the singular set for the kinetic Fokker–Planck equations in domains with boundariesStochastic oscillatorsStationary Measures for the Flow of a Linear Differential Equation Driven by White NoiseWiener-Hopf factorisation of Brownian motionSome explicit distributions related to the first exit time from a bounded interval for certain functionals of Brownian motionMoment generating function of a first hitting place for the integrated Ornstein-Uhlenbeck processPersistence of iterated partial sumsLocal asymptotic classes for the successive primitives of Brownian motionGradient bounds for Kolmogorov type diffusionsQuadratic functionals and small ball probabilities for the \(m\)-fold integrated Brownian motionInvariance principles for integrated random walks conditioned to stay positiveMultiresolution Hilbert approach to multidimensional Gauss-Markov processesOccupation time of a randomly accelerated particle on the positive half axis: results for the first five momentsUniversality of the asymptotics of the one-sided exit problem for integrated processesExact solution to a first-passage problem for an Ornstein-Uhlenbeck process with jumps and its integralA first-passage-place problem for integrated diffusion processesA characterization of the first hitting time of double integral processes to curved boundariesExistence of pathwise unique Langevin processes on polytopes with perfect reflection at the boundaryNonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditionsOn confined McKean Langevin processes satisfying the mean no-permeability boundary conditionExcursions of the integral of the Brownian motionFirst-passage problems for degenerate two-dimensional diffusion processesA Langevin process reflected at a partially elastic boundary. IClustering in a stochastic model of one-dimensional gasHitting law asymptotics for a fluctuating Brownian functionalOccupation time statistics of the random acceleration modelPersistence of integrated stable processesMean First-Passage Time to Zero for Wear ProcessesThe Vlasov-Poisson-Fokker-Planck equation in an interval with kinetic absorbing boundary conditionsExit times for integrated random walksA stable Langevin model with diffusive-reflective boundary conditionsStochastic Lagrangian method for downscaling problems in computational fluid dynamicsOn the probability that integrated random walks stay positiveSome limiting laws associated with the integrated Brownian motionA remark on positive sojourn times of symmetric processesApproach to the steady state in kinetic models with thermal reservoirs at different temperaturesCoupling the Kolmogorov diffusion: maximality and efficiency considerationsA Markovian event-based framework for stochastic spiking neural networksPersistence Probabilities and ExponentsPinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interactionAn asymptotic formula for the Kolmogorov diffusion and a refinement of Sinai's estimates for the integral of Brownian motionThe Fokker-Planck equation with absorbing boundary conditionsFractional diffusion equations and processes with randomly varying timeExceedance of power barriers for integrated continuous-time stationary ergodic stable processesIntegrated Brownian motion, conditioned to be positiveRecord statistics of integrated random walks and the random acceleration processChung’s law for integrated Brownian motionLagrangian stochastic models with specular boundary conditionAbsorption of a randomly accelerated particle: recent results for partially absorbing and inelastic boundariesLangevin Process Reflected on a Partially Elastic Boundary IILast hitting time for the integral of the Brownian motionRandom acceleration process under stochastic resetting




This page was built for publication: A winding problem for a resonator driven by a white noise